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受欢迎的初等代数 >

(2-3/4)-(1-1/4)

解答

(2 - \frac{3}{4}) - (1 - \frac{1}{4})

解答

\frac{1}{2}

+1

十进制

0.5

求解步骤

(2 - \frac{3}{4}) - (1 - \frac{1}{4})

遵循 PEMDAS 运算顺序

计算括号内的值

(2 - \frac{3}{4}) : \frac{5}{4}

2 - \frac{3}{4}

2 - \frac{3}{4} = \frac{5}{4}

2 - \frac{3}{4}

将项转换为分式:

2 = \frac{2 \cdot 4}{4}

= \frac{2 \cdot 4}{4} - \frac{3}{4}

因为分母相等，所以合并分式:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{2 \cdot 4 - 3}{4}

2 \cdot 4 - 3 = 5

2 \cdot 4 - 3

数字相乘:

2 \cdot 4 = 8

= 8 - 3

数字相减:

8 - 3 = 5

= 5

= \frac{5}{4}

= \frac{5}{4}

= \frac{5}{4} - (1 - \frac{1}{4})

计算括号内的值

(1 - \frac{1}{4}) : \frac{3}{4}

1 - \frac{1}{4}

1 - \frac{1}{4} = \frac{3}{4}

1 - \frac{1}{4}

将项转换为分式:

1 = \frac{1 \cdot 4}{4}

= \frac{1 \cdot 4}{4} - \frac{1}{4}

因为分母相等，所以合并分式:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{1 \cdot 4 - 1}{4}

1 \cdot 4 - 1 = 3

1 \cdot 4 - 1

数字相乘:

1 \cdot 4 = 4

= 4 - 1

数字相减:

4 - 1 = 3

= 3

= \frac{3}{4}

= \frac{3}{4}

= \frac{5}{4} - \frac{3}{4}

加减（左右）

\frac{5}{4} - \frac{3}{4} : \frac{1}{2}

\frac{5}{4} - \frac{3}{4}

\frac{5}{4} - \frac{3}{4} = \frac{1}{2}

\frac{5}{4} - \frac{3}{4}

使用法则

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{5 - 3}{4}

数字相减:

5 - 3 = 2

= \frac{2}{4}

约分:

2

= \frac{1}{2}

= \frac{1}{2}

= \frac{1}{2}

流行的例子

- \frac{1}{4} (- 5)^{2} + 4

\frac{180 ( 5 - 2 )}{5}

- 12 + 7 - 9 \cdot 3

6 (- 4)^{2}

5-(-2)+(-8)\div (-4)-5

5 - (- 2) + (- 8) \div (- 4) - 5